4-Boyutlu 2 indeksli Yarı Öklid Uzayındaki Null Kuaterniyonik Bertrand Eğriler

Bu çalışmada, 4-boyutlu 2 indeksli yarı Öklid uzayındaki null kuaterniyonik Bertrand eğrileri tanımlanmıştır. Ayrıca, null kuaterniyonik Bertrand eğrileri için bir karakterizasyon elde edilmiştir.

Null Quaternionic Bertrand Curves in Semi Euclidean 4-Space $mathbb{R}_2^4$

In this study, we define null quaternionic Bertrand curves in semi Euclidean spaces $mathbb{R}_2^4$. We also obtain a characterization for nullquaternionic Bertrand curves.

PDF

___

Bejancu, A. (1994). Lightlike Curves in Lorentz Manifolds. Publ. Math. Debrecen 44, 145—155.
Bharathi K. & Nagaraj M. (1987). Quaternion Valued Function Of A Real Variable Serret-Frenet Formulae. Indian Journal Pure Applied Mathematics 18(6), 507-511.
Bonnor W. B. (1969). Null Curves in a Minkowski Space-time. Tensor N.S. 20, 229-242.
Çöken A. C. & Tuna A. (2004). On The Quaternionic İnclined Curves İn the Semi- Euclidean Space E₂⁴, Applied Mathematics and Computation 155, 373-389.
Duggal K. L. & Jin D.H. (2007). Null Curves And Hypersurfaces of Semi-Riemannian Manifolds. Copyriht C 2007 by World Scientific Publishing Co. Pte. Ltd.
Fernandez A., Gimenez A., & Lucas P. (2001). Degenerate Curves İn Pseudo-Euclidean Spaces Of İndex Two. Proc. 3rd Internat. Conf. On Geometry, Integrability and Quantization,Varna, Bulgaria, June 14--23, 209—223.
Gök İ. & Aksoyak F. (2013). Characterizations Of The Quaternionic Bertrand Curve in Euclidean Space. E⁴,arXiv:1302.2809v2
Keçilioğlu O. & Ilarslan K. (2013). Quaternionic Bertrand Curve in Euclidean Space E⁴. Bulletin of Mathematical Analysis & Applications.
Matsuda H. & Yorozu S. (2003). Notes on Bertrand Curves. Yokohama Math. J. bb, 50, 41—58.
Tuna Aksoy A. & Çöken A. C. Serret-Frenet Formulae For Null Quaternionic Curves in Semi Euclidean 4-Space ℝ₂⁴. submitted.
Tuna Aksoy A.,(2016). Null Quaternionic Bertrand Curves İn Minkowski Space ℝ1 4 . Acta Phys Pol A 130(1): 256—258.
Tuna Aksoy A. & Çöken A.C. (2017). Null Quaternionic Cartan Helices in ℝʋ 3 ,. Acta Phys Pol A , 132(3-II): 896-899
Uçum A., İlarslan K. & Sakaki M. (2016). On (1, 3)-Cartan Null Bertrand Curves in Semi-Euclidean 4-Space With İndex 2. Journal of Geom. 107, 579—591. DOI 10.1007/s00022-015-0290-2